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Popular >

integral of t^2-1

Solution

\int t^{2} - 1 d t

Solution

\frac{t ^{3}}{3} - t + C

Solution steps

\int t^{2} - 1 d t

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int t^{2} d t - \int 1 d t

\int t^{2} d t = \frac{t ^{3}}{3}

\int 1 d t = t

= \frac{t ^{3}}{3} - t

Add a constant to the solution

= \frac{t ^{3}}{3} - t + C

Popular Examples

integral of 3/5-7/x

\int \frac{3}{5} - \frac{7}{x} d x

integral of 1/(x^{1.00001)}

\int \frac{1}{x ^{1.00001}} d x

limit as x approaches 0 of x/4

x \to 0 lim (\frac{x}{4})

\frac{d y}{d x} = - 3 x y

derivative of (x^2-2x+1(1-3x^{-5}))

\frac{d}{d x} ((x^{2} - 2 x + 1) (1 - 3 x^{- 5}))

Frequently Asked Questions (FAQ)

What is the integral of t^2-1 ?
The integral of t^2-1 is (t^3)/3-t+C